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Finding the Fourth Proportional to 58.21, 80.38 and 41.84

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Solution

The fourth proportional to 58.21, 80.38 and 41.84 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.21 : 80.38 = 41.84 : x
  2. Step 2: Convert to fraction form
    58.21/80.38 = 41.84/x
  3. Step 3: Cross multiply
    58.21x = 80.38 × 41.84
  4. Step 4: Simplify right side
    58.21x = 3,363.27
  5. Step 5: Solve for x
    x = 3,363.27/58.21
  6. Step 6: Final answer
    x = 57.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.